Answer:
Position of the particle is 20.
Step-by-step explanation:
Position function is integration of velocity function.
Velocity function is integration of acceleration function.
So, let's integrate the given a(t) to get v(t)
If we integrate v(t) then we get s(t)
It is given the values of s(0) =0 and s(1)=20
So, position of the particle is difference of 20, 0. That's 20-0 =20.
Answer: Our required probability is 0.99338.
Step-by-step explanation:
Since we have given that
n = 100
p = 0.200
So, 
So, we can apply normal approximation.
Mean = 20
Standard deviation = 
Since 
So, Probability that fewer than 30 but a packet after testing a free sample is given by

Hence, our required probability is 0.99338.
The ratio 2:7. Add 7 and 2 together to get 9. Then divide 243 by 9 which is 27. 27x2 is 54 so. There was 54 students out of state. And 189 that were in state